in the figure a pair of parallel lines are cut by transversal find a and b given reason 100
Answers
Answer:
Selina solutions
Grade 6
Biology
Mathematics
Physics
Chapters in CONCISE Mathematics - Middle School - 6
Exercises in Properties of Angles and Lines (Including Parallel Lines)
Question 2
Q2)
Each figure given below shows a pair of parallel lines cut by a transversal For each case, find a and b, giving reasons.
Solution
Transcript
Solution:
(i) a + 140° = 180° (Linear pair)
a = 180° - 140° = 40°
But b = a (Alternate angles)
= 40°
a = 40°, b = 40°
(ii) l II m and p intersects them
b + 60° = 180°
b = 180° - 60° = 120°
And a = 60° (Corresponding angle)
a = 60°, b = 120°
(iii) a = 110° (Vertically opp. angles)
b = 180° - a (Co-interior angle)
= 180° - 110° = 70°
(iv) a = 60° (Alternate int. angle)
b = 180° - a (Co-interior angle)
= 180° - 60° = 120°
(v) a = 72° (Alternate int. angles)
b = a (Vertically opp. angles)
i.e , b = 72
(vi) b = 100° (Corresponding angles)
a = 180° - b (Linear pair of angles)
a = 180° - 100° = 80°
(vii) a = 180° - 130° = 50° (Co-interior angle)
b = 130° (Vertically opposite angles)
(viii) b = 62° (Corresponding angles)
a = 180 - °b (Linear pair of angles)
a = 180° - 62° = 118°
(ix) a = 180° - 90° ( Linear pair of angles)
= 90°
b = 90° (Corresponding angles)
Answer:
5x and 2x+24 are corresponding angles.
by theorem corresponding angles are equal.
5x=2x+24
3x=24
x=8
Step-by-step explanation:
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